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Finding the Fourth Proportional to 5,735.66, 7,916.29 and 3,747.92

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Solution

The fourth proportional to 5,735.66, 7,916.29 and 3,747.92 is: 5,172.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.66 : 7,916.29 = 3,747.92 : x
  2. Step 2: Convert to fraction form
    5,735.66/7,916.29 = 3,747.92/x
  3. Step 3: Cross multiply
    5,735.66x = 7,916.29 × 3,747.92
  4. Step 4: Simplify right side
    5,735.66x = 29,669,572.67
  5. Step 5: Solve for x
    x = 29,669,572.67/5,735.66
  6. Step 6: Final answer
    x = 5,172.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.